22-5n=-4(n-5)+3

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Solution for 22-5n=-4(n-5)+3 equation: 


Simplifying
22 + -5n = -4(n + -5) + 3

Reorder the terms:
22 + -5n = -4(-5 + n) + 3
22 + -5n = (-5 * -4 + n * -4) + 3
22 + -5n = (20 + -4n) + 3

Reorder the terms:
22 + -5n = 20 + 3 + -4n

Combine like terms: 20 + 3 = 23
22 + -5n = 23 + -4n

Solving
22 + -5n = 23 + -4n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '4n' to each side of the equation.
22 + -5n + 4n = 23 + -4n + 4n

Combine like terms: -5n + 4n = -1n
22 + -1n = 23 + -4n + 4n

Combine like terms: -4n + 4n = 0
22 + -1n = 23 + 0
22 + -1n = 23

Add '-22' to each side of the equation.
22 + -22 + -1n = 23 + -22

Combine like terms: 22 + -22 = 0
0 + -1n = 23 + -22
-1n = 23 + -22

Combine like terms: 23 + -22 = 1
-1n = 1

Divide each side by '-1'.
n = -1

Simplifying
n = -1

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